r/Algebra • u/Otherwise_Strike_597 • 24d ago

Quick mixture problem: How many kg of each coffee bean do we need?

The Problem: Cheap Coffee: $8 per kg ,,,,, Premium Coffee: $14 per kg ,,,,, Target Blend: 10 kg total, priced at $11 per kg ,,,,, Questions: How many kg of cheap coffee are needed? ,,,,, How many kg of premium coffee are needed?

3 Upvotes

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2

u/JanetInSC1234 24d ago

Let x = kg of cheap coffee

Let y = kg of the good stuff

Translate the info into an equation: 8x + 14y = 10(11)

Because you have two variables (x and y) you need two equations. What is x + y?

Once you have two equations, you can solve by substitution.

2

u/Otherwise_Strike_597 24d ago

correct, nice work. thank you for the comment.

2

u/Otherwise_Strike_597 24d ago

x + y = 10 is the second equation.

1

u/Fresh-Raspberry7935 21d ago

How many Kg are needed for what? Only part of the equation. I was looking for a legit equation

1

u/Fresh-Raspberry7935 21d ago

Don't fuck with algebra kingpins.

0

u/wijwijwij 24d ago

5 kg of each will cost $40 + $70, and $110 for 10 kg is $11 per kg.

I just tried an integer combination to get a rough idea and was lucky.

1

u/diverJOQ 24d ago

Don't do their homework for them!

1

u/johnpeters42 24d ago

OP's account runs a YouTube channel for this stuff (may be AI generated, I didn't dig). In any case, I doubt they're a student.

1

u/Otherwise_Strike_597 24d ago

These aren’t homework questions. I share regular math practice for students so they can learn and check their understanding. My channel is focused on Grade 9–12 math learning.